What is the Greatest Common Factor of 66977 and 66991?

Greatest common factor (GCF) of 66977 and 66991 is 1.

GCF(66977,66991) = 1

We will now calculate the prime factors of 66977 and 66991, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66977 and 66991.

How to find the GCF of 66977 and 66991?

We will first find the prime factorization of 66977 and 66991. After we will calculate the factors of 66977 and 66991 and find the biggest common factor number .

Step-1: Prime Factorization of 66977

Prime factors of 66977 are 66977. Prime factorization of 66977 in exponential form is:

66977 = 66977¹

Step-2: Prime Factorization of 66991

Prime factors of 66991 are 31, 2161. Prime factorization of 66991 in exponential form is:

66991 = 31¹ × 2161¹

Step-3: Factors of 66977

List of positive integer factors of 66977 that divides 66977 without a remainder.

Step-4: Factors of 66991

List of positive integer factors of 66991 that divides 66977 without a remainder.

1, 31, 2161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66977 and 66991. The biggest common factor number is the GCF number.
So the greatest common factor 66977 and 66991 is 1.

Also check out the Least Common Multiple of 66977 and 66991